Almost isotropy-maximal manifolds of non-negative curvature

Abstract: We extend the equivariant classification results of Escher and Searle for closed, simply connected, non-negatively curved Riemannian n-manifolds admitting isometric isotropy-maximal torus actions to the class of such manifolds admitting isometric strictly almost isotropy-maximal torus actions. In particular, we prove that such manifolds are equivariantly diffeomorphic to the free, linear quotient by a torus of a product of spheres of dimensions greater than or equal to three.

This is joint work with Z. Dong and C. Escher.

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

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